具有非倍测度的Marcinkiewicz积分交换子在Morrey空间的有界性

Abstract

Abstract:

In this paper, the authors prove that the commutators of Marcinkiewicz integral μ_b not only has the (M_q^p(ν), M_t^s(ν)) boundedness. On the other hand, the (M_q^p(ν), Lip_(β-n/p))-boundedness and the (M_q^p(ν), RBMO(ν))-boundedness of μ_b are also obtained.

Key words: Commutator, RBMO(ν) space, Marcinkiewicz integral, Non-doubling measure

CLC Number:

42B25

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CHEN Dong-Xiang, Wu Li-Li. The Boundedness of the Commutators for Marcinkiewicz Integral with Nondoubling Measures on Morrey Spaces[J].Acta mathematica scientia,Series A, 2011, 31(4): 1105-1114.

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The Boundedness of the Commutators for Marcinkiewicz Integral with Nondoubling Measures on Morrey Spaces

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